Mathematical problem solving, like mathematical discovery, is usually based on inquiry methods such as analogy and induction, and then tries to prove or deny conjecture, so as to achieve the purpose of solving problems. Analogy and induction are two important ways to get a guess. Analogy is a form of reasoning, which infers that two objects may be the same or similar in other properties from some identical or similar properties of two objects. Analogy is a subjective and inadequate specious reasoning. Therefore, to confirm the correctness of his conjecture, we must go through strict logical argumentation. The basic process of using analogy to solve problems can be shown as follows: it can be seen that the key to using analogy is to find a suitable analogy object. According to the different angles of looking for analogy objects, analogy methods are often divided into the following three types.

Overview of analogy

The so-called analogy is a kind of reasoning, comparing two different objects (two types), and according to the similarity of two objects (two types) in a series of attributes, knowing that one of them has other attributes, it is concluded that the other object also has similar other attributes. The basic principle of analogical reasoning can be expressed as follows: object A has attributes A, B and C, and object B has attributes A, B and C,